10031333220 has 120 divisors (see below), whose sum is σ = 31757926200. Its totient is φ = 2650434048.

The previous prime is 10031333219. The next prime is 10031333237. The reversal of 10031333220 is 2233313001.

10031333220 is a `hidden beast` number, since 1 + 0 + 0 + 313 + 332 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26132544 + 10005200676 = 5112^2 + 100026^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10031333193 and 10031333202.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 148176 + ... + 204984.

It is an arithmetic number, because the mean of its divisors is an integer number (264649385).

Almost surely, 2^10031333220 is an apocalyptic number.

10031333220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15878963100).

10031333220 is an abundant number, since it is smaller than the sum of its proper divisors (21726592980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10031333220 is a wasteful number, since it uses less digits than its factorization.

10031333220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56939 (or 56928 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10031333220 its reverse (2233313001), we get a palindrome (12264646221).

The spelling of 10031333220 in words is "ten billion, thirty-one million, three hundred thirty-three thousand, two hundred twenty".